List questions from group-presentation

Published on 03 Apr 2015 - 16:45

516

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Working with finitely presented groups in GAP

Published on 14 Apr 2015 - 1:27

59

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Prove that $g\in \ker \varphi$

Published on 20 Apr 2015 - 19:59

477

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Equivalent presentation for the fundamental group of the projective plane

Published on 21 Apr 2015 - 5:14

1.3k

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Describing groups with given presentation? $\langle x,y\ |\ xy=yx,x^5=y^3\rangle$ and $\langle x,y\ |\ xy=yx,x^4=y^2\rangle$.

Published on 07 May 2015 - 9:30

142

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If $n=3k$, then $\langle x,y\mid x^n=y^2=1,xy=yx^2\rangle$ has the same presentation as $D_6$ after $x\mapsto r$ & $y\mapsto s$.

Published on 15 May 2015 - 22:41

65

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simple question on conjugacy classes

Published on 18 May 2015 - 10:50

1.3k

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Presentation of a group question

Published on 20 May 2015 - 17:10

272

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Prove $G \cong \langle x,y\ |\ x^{-1}y^2x=y^{-2}, y^{-1}x^2y=x^{-2} \rangle$

Published on 01 Jun 2015 - 5:28

1.6k

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Presentation of the additive group of the rational numbers

Published on 04 Jun 2015 - 13:27

218

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How to obtain a presentation for each group of order $64$

Published on 26 Jun 2015 - 18:11

100

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A measure of a group's commutativity

Published on 09 Jul 2015 - 17:34

106

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Dihederal Group $D_{2n}$ Where $n$ is even/odd

Published on 09 Jul 2015 - 17:35

37

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A graph and metric on the class of finitely presented groups.

Published on 10 Jul 2015 - 22:04

134

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Presentation of groups and positive expressions

Published on 13 Jul 2015 - 3:52

List Question

Showing that a one-relator group, $\langle a,b \mid W \rangle$, is not a free product.

Working with finitely presented groups in GAP

Prove that $g\in \ker \varphi$

Equivalent presentation for the fundamental group of the projective plane

Describing groups with given presentation? $\langle x,y\ |\ xy=yx,x^5=y^3\rangle$ and $\langle x,y\ |\ xy=yx,x^4=y^2\rangle$.

If $n=3k$, then $\langle x,y\mid x^n=y^2=1,xy=yx^2\rangle$ has the same presentation as $D_6$ after $x\mapsto r$ & $y\mapsto s$.

simple question on conjugacy classes

Presentation of a group question

Prove $G \cong \langle x,y\ |\ x^{-1}y^2x=y^{-2}, y^{-1}x^2y=x^{-2} \rangle$

Presentation of the additive group of the rational numbers

How to obtain a presentation for each group of order $64$

A measure of a group's commutativity

Dihederal Group $D_{2n}$ Where $n$ is even/odd

A graph and metric on the class of finitely presented groups.

Presentation of groups and positive expressions

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